rewrite the expression in terms to the first power of cos
sin^2xcos^4x
snds
To rewrite the expression sin^2(x)cos^4(x) in terms of the first power of cos, we can use a trigonometric identity involving the Pythagorean identity (sin^2(x) + cos^2(x) = 1).
First, let's rewrite sin^2(x) in terms of cos(x):
sin^2(x) = 1 - cos^2(x)
Now we can substitute this expression into the original expression:
(1 - cos^2(x))cos^4(x)
Next, we can expand the expression by distributing the cos^4(x) term:
cos^4(x) - cos^6(x)
So, the given expression sin^2(x)cos^4(x) can be rewritten as cos^4(x) - cos^6(x) in terms of the first power of cos.